Nim is usually played as a misere game, in which the player to take the last object loses. Nim can also be played as a normal play game, which means that the person who makes the last move (i.e., who takes the last object) wins. This is called normal play because most games follow this convention, even though Nim usually does not.

Alice and Bob is tired of playing Nim under the standard rule, so they make a difference by also allowing the player to separate one of the heaps into two smaller ones. That is, each turn the player may either remove any number of objects from a heap or separate a heap into two smaller ones, and the one who takes the last object wins.

sg函数打表找规律即可

//hdu 3032

//任意分堆 注意 sg函数具体意义

#include <stdio.h>

int main()

{

    int T;

    scanf("%d", &T);

    while(T --)

    {

        int n, ans = 0, m;

        scanf("%d", &n);

        while(n --)

        {

            scanf("%d", &m);

            if(m % 4 == 0) ans ^= (m - 1);

            else if(m % 4 == 3) ans ^= (m + 1);

            else ans ^= m;

        }

        if(ans == 0) puts("Bob");

        else puts("Alice");

    }

    return 0;

}